A Characterization of (Weak) Nonhomogeneous Wavelet Dual Frames and Mixed Oblique Principle in Sobolev Spaces on the Half Real Line

IF 1.4 4区数学 Q2 MATHEMATICS, APPLIED

Numerical Functional Analysis and Optimization Pub Date : 2023-05-21 DOI:10.1080/01630563.2023.2209161

Yan Zhang, Yun‐Zhang Li

引用次数: 0

Abstract

Abstract Due to being a group under Walsh addition ⊕, the wavelet frame theory on has been well developed in recent years. This paper addresses wavelet dual frames on Sobolev spaces defined on We introduce the Sobolev space with characterize (weak) nonhomogeneous wavelet dual frames for and establish mixed oblique extension principles for constructing them.

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半实线上Sobolev空间中（弱）非齐次小波对偶框架和混合倾斜原理的刻画

摘要小波框架理论由于是Walsh加法下的一个群，近年来得到了很好的发展。本文讨论了在上定义的Sobolev空间上的小波对偶框架。我们引入了具有特征（弱）非齐次小波对偶框架的Sobolov空间，并建立了构造它们的混合斜延拓原理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Numerical Functional Analysis and Optimization 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Numerical Functional Analysis and Optimization is a journal aimed at development and applications of functional analysis and operator-theoretic methods in numerical analysis, optimization and approximation theory, control theory, signal and image processing, inverse and ill-posed problems, applied and computational harmonic analysis, operator equations, and nonlinear functional analysis. Not all high-quality papers within the union of these fields are within the scope of NFAO. Generalizations and abstractions that significantly advance their fields and reinforce the concrete by providing new insight and important results for problems arising from applications are welcome. On the other hand, technical generalizations for their own sake with window dressing about applications, or variants of known results and algorithms, are not suitable for this journal. Numerical Functional Analysis and Optimization publishes about 70 papers per year. It is our current policy to limit consideration to one submitted paper by any author/co-author per two consecutive years. Exception will be made for seminal papers.